👉 The Weapon Theorem, a fundamental principle in game theory, asserts that if a game has a unique Nash equilibrium (a strategy profile where no player can benefit by unilaterally changing their strategy), then there exists a player who can enforce this equilibrium through strategic manipulation. This is achieved by designing mechanisms or rules that incentivize players to adhere to the chosen strategy, ensuring the equilibrium is not only theoretically optimal but also practically achievable. Essentially, it provides a mathematical justification for why certain strategies can dominate in competitive scenarios, making it a crucial tool for analyzing and predicting behavior in economics, politics, and social interactions.
